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44382728448 = 283229664253
BaseRepresentation
bin101001010101011010…
…101011000100000000
311020120002221012200100
4221111122223010000
51211343434302243
632220015522400
73130562652522
oct512532530400
9136502835610
1044382728448
1117905990873
128727829400
134254078cc6
1422106aba12
15124b65d0d3
hexa556ab100

44382728448 has 108 divisors (see below), whose sum is σ = 132379179660. Its totient is φ = 14284075008.

The previous prime is 44382728443. The next prime is 44382728449. The reversal of 44382728448 is 84482728344.

44382728448 is a `hidden beast` number, since 443 + 82 + 7 + 2 + 84 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23313625344 + 21069103104 = 152688^2 + 145152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44382728394 and 44382728403.

It is not an unprimeable number, because it can be changed into a prime (44382728443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265311 + ... + 398942.

It is an arithmetic number, because the mean of its divisors is an integer number (1225733145).

Almost surely, 244382728448 is an apocalyptic number.

44382728448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44382728448 is an abundant number, since it is smaller than the sum of its proper divisors (87996451212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44382728448 is a wasteful number, since it uses less digits than its factorization.

44382728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664304 (or 664287 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 54.

The spelling of 44382728448 in words is "forty-four billion, three hundred eighty-two million, seven hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 16704 22272 33408 66816 664253 1328506 1992759 2657012 3985518 5314024 5978277 7971036 10628048 11956554 15942072 19263337 21256096 23913108 31884144 38526674 42512192 47826216 57790011 63768288 77053348 85024384 95652432 115580022 127536576 154106696 170048768 173370033 191304864 231160044 255073152 308213392 346740066 382609728 462320088 510146304 616426784 693480132 765219456 924640176 1232853568 1386960264 1530438912 1849280352 2465707136 2773920528 3698560704 4931414272 5547841056 7397121408 11095682112 14794242816 22191364224 44382728448